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   "source": [
    "## Analysis of Sales data\n",
    "\n",
    "### Dataset\n",
    "\n",
    "The given dataset contains monthly total sales of a company for the period 2013-2016.\n",
    "\n",
    "### Objectives\n",
    "\n",
    "1. To analyse the sales data and understand the performance of the company.\n",
    "2. Find patterns and construct a model to forecast future sales.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Load sales data and create visualization"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from time_series import TimeSeries\n",
    "\n",
    "# Imports for data visualization\n",
    "import matplotlib.pyplot as plt\n",
    "from pandas.plotting import register_matplotlib_converters\n",
    "from matplotlib.dates import DateFormatter\n",
    "from matplotlib import dates as mpld\n",
    "\n",
    "register_matplotlib_converters()\n",
    "\n",
    ""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
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     "text": "Sales Data\n               sales\ncount      48.000000\nmean    47858.351667\nstd     25221.124187\nmin      4519.890000\n25%     29790.100000\n50%     39339.515000\n75%     65833.345000\nmax    118447.830000\nHead and Tail of the time series\ndate\n2013-01-01    14236.90\n2013-02-01     4519.89\n2013-03-01    55691.01\n2013-04-01    28295.35\n2013-05-01    23648.29\nName: sales, dtype: float64\ndate\n2016-08-01     63120.89\n2016-09-01     87866.65\n2016-10-01     77776.92\n2016-11-01    118447.83\n2016-12-01     83829.32\nName: sales, dtype: float64\n"
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Aw0qptcDD5mdEZANwOXCSuc2PRcRubnMjcC2w1nxZ+7wGGFFKrQG+D3zb3Jcb+CqwFdgCfDVekGk0Gs3xQu+4P5ZkaeF02FhUV1naAkYp9SdgeMbwxcBt5vvbgPfEjd+tlAoopQ4Ae4EtIrIEqFdKPaWM+tK3z9jG2te9wHmmdvM24CGl1LBSagR4iNmCTqPRaMoaXzCMxx+OJVnG095YzdEChCoX2gfTppQ6BmD+XWSOdwCH49brMcc6zPczx6dto5QKA2NAc4p9zUJErhWRHSKyY2BgYA6npdFoNAuLvvEAwCwTGZjJlqWswWSJJBhTKcZz3Wb6oFI3KaU2K6U2t7a2ZjRRjUajKQWsMOS2BAKmwxQw+W48VmgB02eavTD/9pvjPcDSuPU6gaPmeGeC8WnbiIgDaMAwySXbl0aj0Rw39HtSC5hgOMqQN5jXORRawDwAWFFdVwH3x41fbkaGrcRw5m83zWgeEdlm+leunLGNta9LgUdMP80fgLeKSJPp3H+rOabRaMqYYW+Q/QMTxZ7GgmFKg6mctay9QGX78xmm/CvgKWC9iPSIyDXAt4ALRKQLuMD8jFLqFeAe4FXg98AnlVJWHYNPAD/HcPzvAx40x28GmkVkL/B5zIg0pdQw8A3gWfP1dXNMo9GUMf94/8tcfeuzxZ7GgqFvPIDLaaeuqmLWsvZGQ6vJt4Bx5GvHSqn3J1l0XpL1rweuTzC+Azg5wbgfuCzJvm4Bbsl4shqNpqQJR6I8sWcAfziKUgozXe64pm/cnzCCDKaSLXvyXFV5oTj5NRqNJmdeOjLGuD9MMBzFG8x/EcdSoHfcP61MfzwN1RXUOO15D1XWAkaj0ZQ8T3YNxt4PT+TXcV0q9I37p5Xpj0dE6GisLl0fjEaj0RSKJ7oGsKxiwz4tYJRS9I8HWJTAwW/R3lid986WWsBoNJqSxuMP8fyhUc5a1QzAsDdQ5BkVnxFfiGAkmjDJ0qIQnS21gNFoNCXN0/uHCUcVF5/WDsCwN1TkGRUfK0Q5lYDpaKxiyBvMa+MxLWA0Gk1J82TXANUVdi7YsBjQGgxAn5lkObNUfzyFyIXRAkaj0ZQ0T3QNsnWVm6aaCpx2W96z00uBPkuDSeLkh6lQ5XxGkmkBo9FoSpaeER/7B728cU0LIoLb5WRECxh6xw2h0Vqb2skPWoPRaDSahFjhyeesM4rVNrmcDGsBQ994gJZaJ05H8lu81XisRwsYjUajmc0Tewdpq69k7aJaAJq1gAHMVslJkiwtKuw22uqqtAaj0Wg0M4lEFX/eO8gb17TGSsNoDcYgVZJlPO2NWsBoNBrNLF45OsaoL8Sb1rbExrQGY9A37k9Ypn8mHU01WsBoNBrNTJ4w/S9vWDMlYNwuJ+P+MKFItFjTyjuRqOLrv32Vvf2JWxMEw1EGJ4IJy/TPpL2xiqNjfqLR/DQe0wJGo9GUJE90DbBhST2tdVM30iaXE6CsI8m6+j3c8ucD/ODhroTLByaSt0qeidV4bDBPuUNawGg0mpLDGwiz8+DINPMYGCYyKO96ZHv6DM3l9y8fY3BitmBI1Sp5Ju0N+c2F0QJGo9GUHNsPDBOKKN60tnXaeFONKWDKuKLynl4PIhCKKO7d2TNref945gKmoym/uTBawGg0mpLjT10DVDpsbF7RNG28ubb8NZjdfR7WtNayZaWbu545NMt/YiVZZhZFpgWMRqPRTOPJrkG2rHRTVWGfNh7TYMrYB7Onz8O6tjqu2LqMQ8M+ntw7OG1533gAp91GU83sVskzqa9yUFvp4IgWMBqNRgPHxibp6p+Y5X8BYjfVoTI1kU0GIxwa9rGurY4LT16M2+XkrmcOTVunb9zPovrKjNpGiwjtjVV5K9uvBYxGoykprPIwM/0vAA67jcaaCkbK1ES2t38CpWD94loqHXYu29TJQ6/10Tc+5aTvHcssB8Yin43HtIDRaDQlxRNdg7TUVnLC4rqEy901zrKtqLy7zwPA2jbj3N+/ZRmRqOLXzx6OrdPn8WcUomzx7UtO5Zcf2Ta/EzXRAkYzDaUUo2X69KcpfZQyysO8aW1LUhNQOVdU7urz4HTYWO6uAWBFi4s3rmnh7u2HiJjO/r4sNZi2+ioaqtP7a3KhKAJGRP5WRF4RkZdF5FciUiUibhF5SES6zL9NcetfJyJ7RWS3iLwtbnyTiOwyl90g5jdORCpF5Nfm+DMisqLwZ1maPLZngC3XP0y/J389IjSaXOkd9zPkDXLGssak65RzPTIrgsxhn7p1X7F1GUfH/Dy2u5+JQBhvMJJRFn8hKLiAEZEO4DPAZqXUyYAduBz4EvCwUmot8LD5GRHZYC4/CbgQ+LGIWKEjNwLXAmvN14Xm+DXAiFJqDfB94NsFOLWyYP+Al2AkSk+ee3VrNLnQZSYZWiaiRJRzPbI9vR7WtdVOGzt/QxutdZXc9cyhqVbJGYQoF4JimcgcQLWIOIAa4ChwMXCbufw24D3m+4uBu5VSAaXUAWAvsEVElgD1SqmnlFIKuH3GNta+7gXOk2T6tGYalmmhXE0MmtKmy6y/ZZXnT0STy8mIL4hxWygfPP4QR8f8rJvhe6qw23jf5qU8sruf5w6NAKQt1V8oCi5glFJHgH8GDgHHgDGl1B+BNqXUMXOdY8Aic5MO4HDcLnrMsQ7z/czxadsopcLAGNA8cy4icq2I7BCRHQMDA/NzgiWOlaBWrk5STWmzt9+D2+WkOUWnxmaXk1BEMe4PF3Bm+ccqEbM+gfZ2+ZalAPzo0b3AcazBmL6Vi4GVQDvgEpEPptokwZhKMZ5qm+kDSt2klNqslNrc2jo75PF4xCqxkY2JIRyJ0j3ozdeUNJoYXX0TrEmhvcBUsmW5aeF7zAiydQkETGdTDeeuX8TBIR/A8euDAc4HDiilBpRSIeA+4GygzzR7Yf7tN9fvAZbGbd+JYVLrMd/PHJ+2jWmGawCG83I2ZYalwWQjYB58uZdz/+UxdvWM5WtaGg1KKbr6J1KaxwDcZrmYctPCd/d6qHHa6TDLu8zkA1uWAVBX5aDG6Sjk1JJSDAFzCNgmIjWmX+Q84DXgAeAqc52rgPvN9w8Al5uRYSsxnPnbTTOaR0S2mfu5csY21r4uBR5R5WaQzRPWU182AubQsA+l4GdP7M/XtDQaBiYCjE2G0gqY5jIt2d/V72FtWx02W2J38rknLKK9oSqrHJh8U3Axp5R6RkTuBZ4DwsDzwE1ALXCPiFyDIYQuM9d/RUTuAV411/+kUipi7u4TwK1ANfCg+QK4GbhDRPZiaC6XF+DUyoKRHDSYAY9RMvy/dh3jH95+QtInLI1mLuzNIIIMyrce2e7eCc5dn9yUb7cJ33vfafhDkaTrFJqi6FFKqa8CX50xHMDQZhKtfz1wfYLxHcDJCcb9mAJKkznRqGLEFwKyMy8MTgRorKnA4w9z658P8OV3bsjXFMuKaFQRjERnFWzUJCaTCDIoz4rKw94ggxMB1iepXmCxbdWsWKaisjAMdZoFgccfjmUDD2fR4W5oIsia1lraG6u5e/thPnPeWuqq8pMZXE58+T938e87ejhtaSNnr27mrNUtnL6sUQucJHT1e6ivckzrYJmI6go7lQ5bWWkwqRz8CxldKkYTw3ria6qpyKph0+BEgJbaSj76plV4AuFpdZE0yXm910NrXSWhqOKHj+7l/T97mo1f+yNX/PxpbvrTvpiw1xh09U2wtq0ubZVgEaHZ5SyrispawGhKHuuJb82iWrzBSMa23MGJAC11Tk7pbGDrSje3PHmAUCSaz6mWBQOeAGetaub+T76BF776Vn5+5Wau2Lqc3jE/3/zv13nlqI7Ki2dvBhFkFlayZbmwu9fQ3hZK+HGmaAGjiTESJ2CAjH6goUiUEV+IFjPx7aNvWsXRMT//vetY/iZaBiil6PcEYuae+qoKzt/Qxlcu2sB3L9sIlF+Y7VwYmggw5A2mzYGxcLvKq6JyV98E6xen194WGlrAaGJYJrLVrcaPOBMTg6X1WALmLScsYlWri58/caDsSnXMJ+P+MMFwNKE/wYqCOh6qWnf1efAG0mfc7+3PLILMormMKiorpdjd58n43BcSWsBoYszUYDJxklohypaAsdmEa964kl1HxnjmgM5tTYZ13RILGCNAYtgbKuicCk04EuXdP/wzNzzSlXbdTCPILMqponK/x8j/SVQiZqGjBYwmxrAviNNho7PJ6DWRiYlscMK6UTpjY5ec0Ynb5eTnOvEyKakETH1VBTYpfw1mYCLAZCjCn2f0lE/E3v4JXE47SzKssdXscjIRCBMIL5yckFzZ3VuaDn7QAkYTx4g3iLvGGcuEzsRENmiu0+yaulFWVdj54Lbl/M9r/THThmY6Vr+dRQkEjM0mNNaUl5M6EVZp+VeOjjM2mVpb6+r3sCaDCDKLplg2f+lrgVMRZJlpbwsJLWA0MYa9IZpcThqqK7DbJCMTg6XBtMy4UV551nKcDhs3P3kgL3MtdWIaTG3iJ3Kjr3zp3xxTYQkYpWBHd2pzaldf5hFkMFUuZiiLfK6Fyp4+Dy21qStIL1S0gNHEGPEFcbsqsNmEppqKjKJwBj0BqipsuJzTkwNbaiu55IwO7nuuh6GJ0v+RzzcDEwGcDhv11YlznZtqnGVvIusdNwSMTeDp/UNJ1xvzhej3BLISMFMVlUtfSO/umyhJ8xhoAaOJY8QbjP0w3S5nRtn8VpJlItPFNW9cRSAc5b7njsz7XEudAU+A1iTXDcxk1zK4Oaaid9yP025j83I3T+9PrsHsHTBMRGuzMBE115aHBhONKvb2ebSA0ZQ+Q94gbtO00FTjzOjpb3AiGIsgm8maRbXUVznoGfHN6zzLgYG4HJhENB4HGkzfmJ9F9ZVsW93MK0fHGPcn/r7F2iQvyvwmWy49YY6MTuINRo4fASMiNhGpz8dkNMUjHIkyNhmK/TCba50ZPf1ZGkwymmsrGSzxH3k+SCdgmmoqyt7Jf2zMz5KGKratchNN4Yfp6p+guiJ5H5RENNY4ESn9isqWg3/94tJz8EOGAkZE7hKRehFxYZTN3y0if5ffqWkKyagZxWNpMO4M8wgGJ4LTQpRn4nY5s6prdryQVsC4nPhD0QVVen2+6Rv301ZfxRnLmnDabUnNZF39RhfLZH1QEmG3CU01pZ/Nb7VJXpOF9raQyFSD2aCUGgfeA/w3sAz4UN5mpSk4limhKSZgKhmdDKUsuBiJKoa9qTWYTAXV8UQoEmXIG0wYomwRM/GUqRajlKJ33M/i+iqqKuyctrSRZ5I4+vf2ebJy8FuUgxa4p8/DkoYqGqpLszp5pgKmQkQqMATM/WarY10HpIywhIDbMpG5nCiVOtlvxBckqkhtIiuzmlDzgZVflM5EBuURBZWIsckQ/lCUxWbi5NZVbnYdGcMzww/j8Yc4OuZnTQ45IM2uypKvqLy7t3Qd/JC5gPkp0A24gD+JyHJgPF+T0hQe60mvyVVh/k3fFTCWA5NGgxnxBYnq0vMxpnJgUjv5oXw1GCtE2RIw21Y1G36YgyPT1ts34AWyc/BbNLlKW4OJRBV7ByZKMsHSIiMBo5S6QSnVoZR6hzI4CJyb57lpCogVEmtl5E8lqqUQMB6r0GVqH0wkqpJGCJULA54Ah4czi5YbmDBurqk1mDIXMGaSpdU//oxlTVTYZVY+TJfp5M7FROZ2VZa0efbgkJdgOFr+GoyItInIzSLyoPl5A3BVXmemKSjWjazRNM24s9FgUtwoLe2m3M1kX7n/Za69Y2dG6/aPG9dtUX3yuloxE1mZZvP3mRpMm3kNqp12NnY2znL07+2fwOmwsdRdk/Ux3C6jGkKpas9TEWRlLmCAW4E/AO3m5z3A5/IxIU1xGPYGcTntsXa9GWkwloBxpTaRWfsvZ17v9XBgcCKjFgVTFaiTa36WiWy0TK/bsbHpAgYMM9nLR8aYiCvf39U/werWWuxZRJBZuF2VJa097+61IsjK3EQGtCil7gGiAEqpMFC+8ZPHISPeYMzvAnE+gBQ3uIGJAE578nInMCVgSt3ZmopgOMqhYR/+UDQjTW1gIkBDdQWVDnvSdZwOG7WVjrLWYFpqnTgdU7egbauaiUTVtHyYrv7cIsggs4ekhczuvrM6wewAACAASURBVHGWuqupcSb/fS10MhUwXhFpxowcE5FtgO7nWkYM+6ay+MG4wdVVOVKbyDxBmmudKSvcWiU7ylmDOTTsi4Vz94xMpl0/XQ6MRWNNRdlm8/eO+adpLwBnLG/EYZNYHyFfMEzPyGTOAmaqonLpXUOlFDsPjnDa0qZiT2VOZCpgPg88AKwWkT8DtwOfzvWgItIoIveKyOsi8pqInCUibhF5SES6zL9NcetfJyJ7RWS3iLwtbnyTiOwyl90g5p1ORCpF5Nfm+DMisiLXuR4vxNchs0gXYpwuix/iTWSlXRMqFfsHploSHMlAwPR7AilzYCyaapyxLqPlRu94IObgt6hxOti4tDHm6N8/4EWp7GqQxVPKGkzPyCR94wG2rDgOBIxS6jngr4CzgY8BJymlXprDcX8A/F4pdQKwEXgN+BLwsFJqLfCw+dkKKLgcOAm4EPixiFi2hRuBa4G15utCc/waYEQptQb4PvDtOcz1uGCmBgPpC14aAia5HwGg0mGnttJRkj/yTNk/6I29z6TuWjYaTLmayHrHJmMhyvFsXenmpZ4xvIEwXf2GkzvXLPZS1mC2m1rc5hXuIs9kbqQUMCLyv6wX8G5gPbAOuMgcyxqzjtk5wM0ASqmgUmoUuBi4zVztNoykTszxu5VSAaXUAWAvsEVElgD1SqmnlOFZvX3GNta+7gXOs7QbTWJGvKFZGowR5pn8BjeUotDl9P2Udzb//oEJWmorqa9ycGQ0tQajlIpVUk5HuZbs94cijPhCszQYmPLD7Dw4QlffBBV2YXlz9hFkMJU0XIoPNzsODlNX5SjJNsnxpPMeXZRimQLuy+GYq4AB4BcishHYCXwWaFNKHQNQSh0TkUXm+h3A03Hb95hjIfP9zHFrm8PmvsIiMgY0A+l7sx6HBMIRJgJh3K7p5Sjcrgp2HRlNuI1SiiFvIGWI8tR+yl3AeFnV6sLjD6f1wXiDESZDkYw0GLfLWZJP3+mwwrTbEmgwm5Y34bAZ+TBd/ROsbHFRYc+t6Hu10051hb0kv3vbDwyzeXlTVvXXFiIpBYxS6uo8HfMM4NNKqWdE5AeY5rAkJLrCKsV4qm2m71jkWgwTG8uWLUs157Jm1DTDNM0ykRmJakqpWY78sckQoYjKSINpdjljYanlyP5BL287qY3BiSCHhlKbyPrN/I9F9ZmZyMb9YcKRKI4cb7ILkVgWfwINxlXp4JTOBp7eP8SIL8SGJXMr3J6rkFZK8UTXIG9a25Jxm+b5YmgiwL4BL5ds6izocfNBxt9aEXmniPy9iHzFeuV4zB6gRyn1jPn5XgyB02eavTD/9setvzRu+07gqDnemWB82jYi4gAagFmlWpVSNymlNiulNre2tuZ4OqWPFULsTuDkD0UUnri8BIupMjGpfTBQ3hrMqC/IsDfIqpZaOhqr6RnxpcyFSdcqOR7LZDmapl99qXFszNDyliTQYMAwk73UM8bBIe+cc0DcOdbCe3r/MFfesp0/dRXe6GGVyzmzxP0vkHkm/0+A92FEjglwGbA8lwMqpXqBwyKy3hw6D6MFwANMVQe4CrjffP8AcLkZGbYSw5m/3TSneURkm+lfuXLGNta+LgUeUZlkwB2nTNUhm+3kh8RO0gGzTEwmvgR3rTOmCZUbVq2sVa0uOpuq8QYjjKUQCAOmYM7UyQ+pC46WIrEs/hQCJhxVROcQQWZh1cLLFsuX9vKRwmdj7OgexumwcWpnQ8GPPd9kmsFztlLqVBF5SSn1NRH5F3Lzv1h8GviliDiB/cDVGMLuHhG5BjiEIcRQSr0iIvdgCKEw8EmllJXk+QmMKgPVwIPmC4wAgjtEZC+G5nL5HOZa9sQqKc8UMLVTTtLlza5pyzIpE2PR7HISjESZCISpqyrNsuPJsEKUV7XWEopEASPEtLEmsWYX02AyDFOG8isX0zsWoMZpp64y8e1n0/Im7DYhElU5FbmMp9nlZG//RPoVZ2AJwVeOFl7AbO8eYWNnQ8pE3FIhUwFjeS59ItKOcdNemetBlVIvAJsTLDovyfrXA9cnGN8BnJxg3I8poDTpiWkwM6PIzM+JGoZlUkk5th+zlMywN1h+AmbQS4VdWNpUjdc0JfaMTHJyR+Knz35PgAq70JhBf49itf3t9/i57CdPccPlp7NxaeO877/P7AOTzLdRW+nglI4Gdh0ZY0VLbhFkFk05mmctAfPq0cIWjfcFw7xyZIxrz1lV0OPmi0x9ML8TkUbgOxhRXweAu/M2qzJn2Btk58HE3fuKgfUDtEwyFqnqiA1OBLDbMrtRlnLCWzr2D0ywzF2Dw26LtfRNlQsz4DGSUzOJDrJaJ4wWWIP5895BDg75+O+Xj+Vl/8eS5MDEc8XWZVy2qXPOT/Ful5PJUITJYHaVrSwB0z3km9WjJp+8cGiUcFRx5srS979A+jyYM0VksVLqG2auSi2wC/h3jARGTQ7c/OR+3n/TMwTCC6Oc24g3SEN1xaxw0Oba5IJh0GMkZmZyo4wJqjKsR2aEKBt+gsaaClxOe8pcmEyTLKF4Jfuf7TaczFay33zTlyCLfyaXbV7Kty45dc7Hin33sryGfeOGpglGIdNCsb17GBGjfUE5kE6D+SkQBBCRc4BvmWNjwE35nVr50j8eIBiJpg1pLRTDvtAs/wsYpTuqKmwJb3CZlImxKNeKypGo4uCQj1Wthn9KROhsqkmZC5NpkiVAjdOO024reLkYq9jkrp4xfMHZEYRzIRpV9I37kzr455tUgSqp6Bv3s3VlM1BYM9mO7hFOWFxfsi2SZ5JOwNiVUtZjzPuAm5RSv1FK/SOwJr9TK18sp+2+geydj/nAqEOW+AvtrnEmrIScSZkYi1SaUCnTM+IjGImyumUq0qmjqTplPbJ+TyCjHBgwBFZjTQWjBWybPOoLsqdvgi0r3ISjiucOJk60zZUhb5BwVCUNUZ5v3DmYZ6NRRb8nwCmdDTS7nAVz9IcjUZ47NMKZJV5/LJ60AsbMIwHDAf9I3LLSrSFdZKywUyvEtdgMe2fXIbMwQoxn1yMbnAhm8SRuaELlVvByf1yIskVnU3VSH0wkqhj2Zq7BgGEmK6SJbKeZg/HxN6/CJvDMgaE0W2RHb4I+MPkkFw1myBskElUsrq9iQ3s9rx6buwbjD0XS9qV59dg4vmCkLPJfLNIJmF8Bj4vI/RiRZE8AiMgadLn+nBmOCZgFosH4ZldStkjUdlYpZWgwGfoSwGjFXG4azL64EGWLjsZqxv3hhDeTIW+AqMosRNnCKNlfOA3m2e4RKuzC2atbOLmjgWf2z68fJlUWfz7IJcBkqttmJRuW1LOndyIWgp4rf/PL57jo355M6Xe1fF7HjYAxw4O/gJFr8sa4ZEUbcyjXf7xj3TD2LwANRimVUoNpds0uGT8RCBMIRzM2kYGZUV1mTv79g14aayqmXbvOJiOsNpGZLJscGItcEwVzZUf3MKd0NFBVYWfrSjcvHB7FH5q/YJSYgCmQiay+qgK7TbLSnvs9U1rWhvZ6gpFoTrk0Fi8eHuWR1/s5OOTj7u2Hk663o3uEpe7qgl2bQpA2TFkp9bRS6j+UUt64sT1mCX9NlkSjKs5EllmL3XwyGYoQCEdnZfFbuF3OWdFfg+bnTJ38sf2UmQazf2CCVS3TE1A7moxQ5UQCpj8mYDK/gTTOg4nsL/sGM3oC94civNQzFnuC3rqymWAkyguH588P0zs2id0mWX135oLNJjTVVKSsCj6T3jGzGGd9FSe1G7XQ5uLo/+Gje2mormDT8ib+7ZGuWL5UPEopnu0e5szl5aO9QBa1yDTzg8cfJqoMW73HH47drItFLIs/qYnMiTcYmfYUm02SpUVzbTkKGO808xgY/1dInAtjaTCZNBuzaDJNZLk+iOzt9/CBnz3D7U8dTLvuriNjBCPRWA+SM1e4EZnfcOXeMaPZmr2AVYKbalL3NZqJZSJrratkZUstVRW2nP0wrx0b56FX+7j6DSv48jtPZHAiyC/+fGDWegcGvQx5g2WT/2KhBUyBsZ5GNy03IkX2F9kPM+JNXEnZIlGI8aAnBwHjcjJURk5+jz9EvycwzcEPxnlWVdgS5sIM5HDdmmqchKOJC45mghVIcv8LR9Ku+6wZnmx9NxtqKjhhcf28Ovr7xme3Ss43RkXlzDWYfo+fllonFXYbdptwwuL6nCPJfvToXmorHfz12Ss4Y1kTF2xo46eP758VdGBd+3Lyv4AWMAXHEjCbzR9xsSPJLP/KzF4wFgkFTKwOWTY+mEr8oei851UUi1gEWct0DUZEzKrKiQVMXaWDamfm2emxgpc5hiofHjY0qZd6xtI+zOzoHmF1q2uaT2nrSjc7D44QDM/NyW3Ra5aJKSTuLB9u+sYD04TghvZ6Xj06nrUWuW9ggv/adYwPnbU8Vpvu7962nolgmJ88vm/aus92j+B2OVk944Gl1NECpsBYDv4N7fVUOmwLQINJXIfMojmBgBmYCCKS3KyWaj/l4ujfP2j83xLdEDqaapJqMK0Z5sBYzDWb/+CQj0qHDRG4/4WjSdeLRhU7uodnPUFvXenGH4qya56qCveO+QvuxM7W/zdTyzqpvZ5xfzhtt9KZ/PjRfVQ6bFzzxqmyjeva6njv6R3c+pfuWMg2GBrM5uVNBe89k2+0gCkwIzGNoZKVLa6ihypb4ZtJ82CSaDBNNc6smmCVWzb//gEvNoFlCdr5GrkwSQRMls7tWF/5HAXMoWEfa9tqOWtVM/e/cCTpU3hX/wTj/vCsHvBbTJ/AfJjJJgJhJgLhogiY0ckQkWhmGoghYKb+T1bTs1eycPQfHvbxny8c4QNbls8yif7t+euIKsUPHu4CjCZ0B4d8ZWceAy1gCo6Vxd9UU8HqRbXsHyyuiWzEG8QmRjhnIhJlQg96Ms/ij+2ntvwEzFJ3TcJijB2N1Qx7g7PMgQMTmdchs7AqLMxFwCxz13Dxae10D/l4qSexJjLlA5ieRd5cW8maRbXz4ui3ntiLYSJTKrO+OqFIlMGJIIviIv1OWFyPTbKLJLvx8X3YRRJWRV7qruGKrcu5Z8dh9g9MxGq/lZuDH7SAKTijvqkb+uoWF4eHfUUtejlsJlkmK1qZKI8gmzpkFuVWUXlfghBli84kocrZFLq0mCrZn70PJhJV9Iz4WOZ2ceHJS3DabfxnEmf/ju5hWusqWeaerZFtXelmR/cI4TkmG04lMBZewEBmQtoKxIifY7XTzqrW2owjyY6NTXLvjh4u29yZVFv75LlrqHTY+N5De3i2e5jqCnssJLqc0AKmwIz4jMrFNpuwqrWWqDLs5EWbjzeYNIIMrDwC57Q8gsGJYNYCZspEVvqRZNGoontodoiyRSxUOc5m7wsa5qFFWeTAANRXVyCSW1fLY2OThCKKZe4aGqorOPeEVn774rGEpqJnu40aWIl8AFtXNTMRCM+5ZMoxU4MpVB0yC3cW/r++WCLo9O/3hiX1GWswN/1pPxGl+PhfrU66TmtdJde8cSW/e+kYv3vpGKcva5xVzbwcKL8zWuCM+EKxp9LV5g2qmI7+YW8wrbO+2eWcswZTW+nAabeVhQZzdGwSfyg6K0TZwsrmj/fD5JLFD2C3CQ3VFTl1tTxkRpAtN/1E7zmtg8GJAH/ZN73P/NHRSY6MTrI5SZLfVtN0M1czWV+Bs/gtstFgrDnOfBDY0F7PkdHJtIJ+wBPgV9sP8d7TO1iaQBuM56PnrKKxpoLBicAs31e5oAVMgRn1BWOhpyvNG1QxQ5VHfMnLxFg0uSpivhNfMIwvGMkqRBmM8N1EVQFKkWQhyhattZU47bZpyZa5ChjIveCl1Q7CMnude8Ii6iods6LJdpgFLpM5mdvqq1jRXMPTc6xL1jvmp6G6gqqKwrYCzqaict/4bBMZkHFG/81PHiAQjvI3b06uvVjUV1XE1ttWhv4X0AKm4Ax7pzSY2koHi+urihpJNuwNpTSRwfRClUM5lImxKJdyMZbGmSxnwWYT2hurpvlgYgImh+vWVFORm4AZ9uGwScwkVVVh58KTF/P7l3unVWbY0T1MjdPOiUvqku5r68pmnu0eJpphJFYiesf9BTePgfG9EzH6MKWjb9yPwyYxn6HFiWYkWSoz4agvyB1PdfOuU9uTmk9n8uE3rOT2D2/hrNXNGa1famgBU2AMDWbqy7uq1VU0DUYpZWowqZsbxQuGgYncb5TNtc6yMJHtH/RSW+lIqY10zAhVtuqQZdoLJp6mmuwy0S0ODvvoaKqeFk7+ntM7mAiEeeT1/tjYs90jnLGsKWXY+ZaVbsYmQ+zuy727Y+9Y4bP4ASoddpa5azIqWNk3bpSymRn00lJbSVt9ZUoN5ieP78cXivDJc9NrLxYOu41z1rWWXf6LhRYwBWbmDX11ay37i1T0ctwfJhJVSZMsLdwuJ2OTIcKRaE5lYuL3Ux4ajJdVra6UN4XOxunJlgOeAHYzYCJbGmucOTn5D5shyvFsW9XMorpK/vN5I5ps3B/i9d5xNqdpcrV1lZkPsz/3fJhiZPFbrGury0g49nv8LEoyx5PaG5LmwvSP+7n1Lwd498Z2TlhcftFguaIFTAHxhyL4Q9FZGozHH45pBoVkJE2SpUVzrZlHMBmaqqScpQ/GOk55CJjkIcoWnU3VDHgCMVPUgCdAs8uZU5FHw0SWgwYzNFvA2G3CRRvbeWz3AGO+EM8dHEGp9DWwOptq6GisZnt3bn4YI78kULBWyTNZ31bHgUFv2pQAQ8tK/PC0YUk9ewcmErYvuOGRLsIRxecvWDcv8y0XtIApIJYdPf4pdiqSrPBmMqsOWTofjDXfYW8wVoes2ZWDiczlNHvJFC/vZ674gmGOjvnT2titsv1HTS0mlyRLiyaXk8lQJKu+LGO+EGOToVgEWTwXn9ZOMBLlwZePsaN7BLtNOG1pY9p9bl3pZvuB4Zy07QFPAKUKH6JssX5xHZGoYl9/6t9ZqmKcG9rriUQVXX3TTW0Hh7zcvf0wl29ZyvLm8qolNleKJmBExC4iz4vI78zPbhF5SES6zL9NceteJyJ7RWS3iLwtbnyTiOwyl90gps1CRCpF5Nfm+DMisqLQ55eIWOXimikT2apYJFnhHf0jaUr1W8TXERucCFBf5cDpyP6r4zaFUilrMQfMygur0wiYmaHK/R5/VmX644kVvMxCi7FClBMlTp7S0cCqFhf3v3CUZ7uHOam9Hldl+g7oW1e5GZwI5uQzPFakLH6L9YuNAIY9Kcxkk8EI4/5wUgFjRZLNrKz8/Yf24LALn3nL2nmabflQTA3ms8BrcZ+/BDyslFoLPGx+RkQ2AJcDJwEXAj8WESvO8UbgWmCt+brQHL8GGFFKrQG+D3w7v6eSGZYdPd5E1t5QTVWFrTgaTIYmMqvMy4gvmHWr5Gn7KYOCl7EQ5TRVb2ONxywNJocsfot4DTJTpgTM7HmKCO8+rZ2nDwzx/KHRpPkvM9my0oh0yqUuWbGy+C1WtriosEtKP0x8J8tELG2qobbSMS2S7PXece5/8Sh/ffbKpL6b45miCBgR6QTeCfw8bvhi4Dbz/W3Ae+LG71ZKBZRSB4C9wBYRWQLUK6WeMls53z5jG2tf9wLnyQII04jVIYtz8ttswsqW2qIkW45kaCKLzyMY9GSfxW/RXAb1yPYPeBExblipaKurxGETekZ8RKOKwYngnAVMNo7+g8OGIExUjBPg4tM6UAqCkeis+mPJWNFcw6K6Sp7JIR8mVoesSCayCruN1a217O5NLmCsOSbzwdhsMiuj/5//sJvaSgefSJG1fzxTLA3mX4G/B+KLG7UppY4BmH8XmeMdQHwj6x5zrMN8P3N82jZKqTAwBswKNBeRa0Vkh4jsGBgYmOs5pSWRDwaKF6o87A3htNtwpelPEnuCNk1kuYQoQ3lUVN4/OGFqnamvmcNuY3GDkQsz7AsSiaqcr5v1QJKNo//wsI9ml5PaJKavlS0uNnY2ALApQwEjImxd1czvX+nl6l9s58bH9mXcK6Zv3I/TYZtmHi4069rqUgqYvgR1yGayob2e146NE40qdh4c5n9e6+fjf7WahiKe10ImveF1nhGRdwH9SqmdIvLmTDZJMKZSjKfaZvqAUjcBNwFs3rw573HCUyay6V/G1a21PLjrGP5QpKBZzkYdsoq0MfgVdhv1VQ6GvQEGJgK8KctKyhZzLXh53X0vUVVh5yvv2lC0vAErRDkTrLL9sVbJOZpQcukJc2jYl7ZUyefOX8fjewayqo/2ufPXUlfl4NkDwzy6+3UAqipsnLGsibNWNXP1G1cmFGrHxowQ5WIaEtYvruOBF4/i8YeoS1A9vN8y46W4HhuW1OMNRuge8vLt3++mpbaSq9+wIl9TLnkKLmCANwDvFpF3AFVAvYjcCfSJyBKl1DHT/GVlgvUAS+O27wSOmuOdCcbjt+kREQfQAMxfY/EcGfGFqHHaZ5V4X93qihW9tJyRhWDIG8w4L6O5tpJjY348/nDOJrL6qgocMyozZ4pSit+9eAxPIIzDJvyfd5xY8JuVUor9AxNctnlp+pWBjsYa/rJvcE5lYiDeyZ+FiWzIF2t9nIxzT1jEuScsSrnOTFa31vLN954CwNBEgGe7R9h+YJhnDgzxvf/ZwwuHR7npys2zwrGLmQNjsa7N+G119U9wxrLZ16Zv3E9VhY366uS3xQ2mo/8nj+9j+4Fhvn7xSdQ4i3EbLQ0KbiJTSl2nlOpUSq3AcN4/opT6IPAAcJW52lXA/eb7B4DLzciwlRjO/O2mGc0jIttM/8qVM7ax9nWpeYzCZzLOYMSX+IZerKKXmdQhs3C7nHSZmdC5OvltNqEpx1yYYW8QTyBMZ1M1P3viAD9+bF/6jeaZfk8AbzCSlQbTO+6PhSrnaiKrdNipcdqnVbRORSgS5ejoZMIIsvmkubaSC09ezFcu2sB/feZNfO3dJ/Hw6/1876Hds9btG/cXLQfG4gTz4S2ZmcxqlZzqwWVtWy0Om3DPjh6Wuqu5/MxleZlrubCQ8mC+BVwgIl3ABeZnlFKvAPcArwK/Bz6plLISAj6BESiwF9gHPGiO3ww0i8he4POYEWnFZsQbnGUegymHcaFDldOV6o/H7XJycMjwE+WqwYBhJhvMIYqs2yzc+LV3n8R7T+/gu3/YzR1PH8x5Hrnw4uFRIHmRy5l0NFWjFLxoNvnKVYMBw0yWqQZzZGSSqEocopxPPrRtOe/fspQfPbqP3744VVBTKcWxseLUIYuno7GaGqc9qYDpHfenNI+BIezXLDL+/397/rqcwvWPJ4qq2ymlHgMeM98PAeclWe964PoE4zuAkxOM+4HL5nGq80J8qf54XJUOljRUFTxUediXvlS/RbPLiVXnMNtulvHkms3fbeafrGxx8Z1LT8XjD/GV+1+mvsrBxad1pNl67iil+NFj+2hvqOLMlZk5xa2+MM8fGsHltGeUa5KMJlfmBS9T5cDkExHha+8+ma6+Cf7u3hdZ2eLi5I4GRn0hguFo0UKULWw2YW1bXdJcmP5xPyd3NKTdz5vXL6LaaS/I967U0eK3gMSX6p/JqlYX+wrYPjkciTI2GcrYRBav6cxFg8lVwBwc8mK3CZ1NNVTYbfzwA2ewdaWbL9zzIo+83pfzfDLlf17r58XDo3zmvLUJ2yQnorPRuMHv6fPMSXsBq2R/Ziayg7E+MIXPKnc6bNz4wU24a5xce/sOBjwBeseLm2QZzwlJBIxSKmYiS8eX3n4C933i7JzK/hxvaAFTQJJpMGAWvezPrejlY7v7uf+FI7x8ZIzJYGblRMYmQyiVPsnSIr58+Vxuls0uJ0M51F07MOSjo7E6ZpKoqrDzsys3s6G9nk/c+RxPz6EIYzqiUcW//HE3K5pruGRTZ/oNTBY3VGETiKq5XTPIruDl4WEfToct58oBc6W1rpKbrtzMsC/IJ+7cyWFT4BUrByaedYvrGJyYKnlk4QmEmQxFMhaCCyCtriTQ4Q8FIhJVjPuT915Z1eLCEzCKXmYTNtrv8XPNbTumtcHtaKxmzaJaVrfWcs66Ft68fnakUKZJlhaWIKqtdMwplNrtqmTcHyYUiWbVIvbgkHdWXa26qgpuvXoLl/3kL3zkth3c+ZGtGdXUypbf7TrG670efnD5aVnN2emw0VZfxbExf9atkmeSTcHLg0NelrlrZpWcLyQndzTw3Us38ulfPc/RB14BFoaAWW9Gku3p9dCyZkoAWyHKubRT0CRHazAFwtIYkiWarTYdh+mK8c3kvueOEIkqfnH1mfz4ijP4/AXr2LS8iQFPgLu2H+TqW59N+HRvRSRl6oOxBEzzHPwvEFd2JgszmVKKA4PehNnzbpeTOz+yFbfLyYd+/gzPHxqZ0/xmEo5E+deH9rC+rY6LTm3PenvLDzMfGozVMiEdh4bzH0GWCRdtbOdv3ryao2N+RCiaRhXPusXG72xmyZjesfRJlprs0QKmQCTL4rewqvPuH8w8kkwpxT3PHubMFU2cu34R7zhlCZ85by03vP90/vuzb+K5f7yA5e4avnDPi4z7pz/9Wn6QpjTNxiwsATMX/wvklmw54gvh8YeT+hSWNFRz97XbaHI5ufLm7Tw3j0LmvueOsH/Qy+ffui4njaCjcX4EjPVgMjaZWotRSnHI1GAWAl9863ou2NDGqhZXVtpfvmitrcTtcs6KJCt2rbRypfj/8eOEZFn8Fkvqq6iqsGWlwew4OML+QW/SxL8ap4Pvv+80esf9fPX+V6YtswReNnkwMLcIsvj9ZOPoPxCLIEt+02xvrObXH9uGu9YQMjsPzl3IBMIRfvBwF6d2NvDWDW057cOqqpxrDoyFdd3SmcmGvUG8wciCETA2m/DTD27ivz7zpmJPBTB8J+vaamdpMH2e1HXINLmhBUyBmCrVn/gGbbMJq1pqs9Jg7nn2MC6nnXeesiTpOqcva+JT567hP54/wu9emspNiGkwWRJZgAAAGJBJREFUGYcpGz+8YmgwVv5NuqgoS5NpqXVy1S3b2XlwbsUb7t5+mCOjk3zhretzdurGTGRzvHE1ZljwciqCbGEIGDC+24UsgZSO9W117On1TAuo6R8PUFfl0Fn584wWMAUinYkMrKKXmQmYiUCY/9p1jIs2tqfNr/jUW9awcWkjX/6Pl2MVY0e8QWqc9ox/+NVOO2evbmbbqlk1Q7MipsFkEUnWPejFJka59HQYQuYsWusqTU0mNyEzGYzww0f3smWFm3PWtuS0DzAEfLPLGXMu54plIkunwRwuUg5MKbF+sVFPLL6ltdHJUpvH5hstYAqE1SyqMYXPY3VrLT0jkxl1Lvzdi0fxBSP87zPT18WqsNv41/edRjAc5Yv//iLRqGI4SdmaVNz10W1ctDF7R3c8jTVORLIzkXUP+ehoqs44a3pxQxW/+ug2FtVX5Sxkbn+qmwFPgC++LXftBYwCizv/8QLaTV9MrmRa8PKgWfEgXaHL45n1lqM/zg/T50neKlmTO1rAFIgRXxCHTahLoW2sanWh1NRNIhW/3nGYNYtqOT3DsNyVLS7+v3edyJN7B7n1L92MeDOvQzaf2G1CU40zKxNZ95CXFVkmDS5uqOLuaw0hc+3tO2P1wDLB4w9x4+P7OGddK1tWZtaMK99Yvrt00XeHhn201VcuKJPUQmOtqU3G+2H6xwNpy8RoskcLmAIxYmbxp3oatopepjOTdfV5eP7QKO/bvDSrp+sPbFnGeScs4lu/f51Xj41nnAMz32STzW+FKGcrYMCICPr5VZsJhKN8/M6dGfe0v/nJA4z6QnzxreuyPma+qK104LBJWhPZoSEfyxN0sdRMUV9VQXtDFXtMDSYaVfR7il+MsxzRAqZAjHhD01olJ8Kq0puqbzjAPTsO47AJ7z0ju1pIIsK3LjmVukoHfeMB3EVqkuR2Za7BWCHKK9J0kEzG6tZavve/N/JSzxhfuf/ltJUSfv9yLz96dC8XnrSYUzvnP2kzV0SMStTpnPyZ9IHRGKbL100BM+ILEooo2hZAnk65oQVMgTBK9ae+odc4HWxa3sTP/rSfV46OJVwnGI5y33NHOO/ERTlFdLXWVfKtS04FjHLrxaA5Cw2m24wgWzGHqKi3nrSYT79lDffs6OGu7YeSrvfbF4/yybue4+SOBr5z2ak5Hy9fGNn8ya+bPxShd9y/oCLIFirrFtexf8BLKBKN1UrTTv75RwuYAjHqS6/BAPzoA2dQX13B1b94dlqUi8Ujr/cx5A3yvgyc+8m4YEMbN15xBn999oqc9zEXsjGRWVWUc9VgLD53/jrevL6Vf3rglYQ5Mr/Z2cNn736eTcuauOOardQn6HhYbBrTFLzsGdERZJmyvq2OYCTKwSEv/eNz6ziqSY4WMAUiEw0GDOf0rVdvYTIU4epfbJ+Vuf3rZw/TVl/JOWtb5zSft5+ypGimlGaXkxGzT306uod82GQqnyRX7DbhB+87nSUN1fzNL3fSbybWAdy9/RBfvPdFzlrdzK0fPjNpH/ti01RTkdLJHyvTrzWYtKyPNR+biGXxL4RaaeWGFjAFQCnFaIpKyjNZv7iOn35oEwcGvXzsjh0EwoZzunfMz+N7Brh0UyeOBVB2I1fcLidKZdYC+OCQl/bG6oxL5KeioaaCn35oE2OTIT71y+cJRaLc/lQ3X7pvF+esbeXmq85c0Il26Ur2W9GHWoNJz+rWWmwCu3vH6TM1mLlWW9DMpnTvUiWELxghGIlmZCKzOHt1C9+9dCNP7x/m7+99iWhU8ZvneogquGxT7uaxhYDb/CFnYibrTlLkMldOXFLPty85le3dw1z2k6f4yv2vcP6Jbdx05aYFH9prlexPFqhwaNhHjdM+rbWCJjFVFXZWtLjY3eehz+On2eXU3SnzwMJ9XCsjpup+ZWfXf8/pHRwZneS7f9jNkoZqHnz5GFtXuufsjyg2LXHlYtamWbd7yMdFG5OXwsmFi0/r4KWeMW5+8gDvOGUxP7j89AVRiDEdblcF4ahiIhCmLoGP6NCQj2XuGt2rJENOWFzHa8c8rIoo7X/JE1rAFIBYFn+WmfMAf/Pm1RwZneQnj+8D4LPnpbslL3yskv3pNJgRb5CxyVBOOTDpuO7tJ3DeiYvYssJdMubGqXpkocQCZtg3r9peubOurY4HX+41O6XOzcenSUxp/LJKnEzqkCVDRPj6u0/i/BPbWFRXydtPnt+n+WLgzrDg5VSI8vzfNB12G2evbikZ4QKpy8VEo4pDwz4dopwF69vqUAr29k8siHbO5YjWYAqA5ZjNJIosEQ67jZ9duQlfMEK1c2H7CTLBulEOT2QoYPRTOTD1/Umk+f3x1V4C4ai+VlmwbvFUAVJtIssPpfP4VsJM9YLJ3fkqImmrJpcKFXYbDdUVDHtTV1TuHjRClJe6tfkCppvI4nn09X4+/avn2bi0kYtPy666w/HMimZXzLGvC13mh4ILGBFZKiKPishrIvKKiHzWHHeLyEMi0mX+bYrb5joR2Ssiu0XkbXHjm0Rkl7nsBjG9myJSKSK/NsefEZEVhT7PeKxeMMmajR2PNLucDGZgIpuvEOVyYKpk/9R1+9OeAT52507WL67j9g9vWbA5PAsRu01Ya7Yq14Uu80MxNJgw8AWl1InANuCTIrIB+BLwsFJqLfCw+Rlz2eXAScCFwI9FxLrj3AhcC6w1Xxea49cAI0qpNcD3gW8X4sSSMeILUlfpKIlIpULhdjkzMJH58uJ/KVUaqisQmTK5/mXfIB+9fQerW2u585qtNFTrB5hssfr06CTL/FDwO55S6phS6jnzvQd4DegALgZuM1e7DXiP+f5i4G6lVEApdQDYC2wRkSVAvVLqKWUkBtw+YxtrX/cC51naTTEY8QVT9oE5HsmkXEz3oJcVKdokH2847DbqqyoY9QXZfmCYa27dwfLmGu68ZsuczK/HMxva6xHRAiZfFFWfNk1XpwPPAG1KqWNgCCERWWSu1gE8HbdZjzkWMt/PHLe2OWzuKywiY0AzMDjj+NdiaEAsW7Zsvk5rFiNZZPEfLzTXOnnu0GjS5aO+/IUolzJNNRVsPzDMb3b20N5YxS8/sq1oRUvLgSu2LueUjoY5twLXJKZoNhsRqQV+A3xOKTWeatUEYyrFeKptpg8odZNSarNSanNr69xqe6Vi1BfUT5gzcJv1yKJJ6pEdGMxfiHIp01jj5PVeD611ldz10W206hLzc6LaaWfrHNuAa5JTFAEjIhUYwuWXSqn7zOE+0+yF+bffHO8B4mujdAJHzfHOBOPTthERB9AA5NacfR7ItNDl8YTbVUkkqhicSBxJZtXV0iay6axscbHMXcNdH92my8trFjzFiCIT4GbgNaXU9+IWPQBcZb6/Crg/bvxyMzJsJYYzf7tpTvOIyDZzn1fO2Mba16XAIypdp6k8MurVJrKZnL26GbtN+PbvdydcfmDQiwh0NmkBE893Lj2VP/7tObQ36tBtzcKnGBrMG/j/2zv3KKuq+45/fjMMjwERsKAoTyFkISoxoGDUEBRMUqrWLrWrRm1ImmaZxtgmK7FJauPSuGJakzZJq11qsbYmmKS+UqNYzcNU42oDCYbgKypgeRQUxAAjj2F+/WPvO1yGmTD3ce7Z997vZ62z5p59zpnzub9z7v3ds/c++8DlwNlmtjJOvwvcBCw0s18DC+M87r4a+A7wLLAM+DN3Lzz79krgDkLD/8vAI7H8n4GjzOwl4JPEHml5sG9/Fzv2dKqLcg+mjx3Ox94zhXt/vp7Hnt18yPJ1W3dx7JFDkh+Asta0tbYoJqJuqHkjv7s/Se9tJADn9LHNjcCNvZQvB07spXw3cHEFmlVje/dd/LqC6clVZ7+Nx5/bwmfvW8WsiSO7h5ABWLO1Q9VjQtQ5ujEjYwp38Y/UEOqHMHBAC1+9ZCZvvrWXax/81UHL1m3dpQZ+IeocJZiMqXQcskZn+tjh/PmCaXz/l5v4j2dCH43tHXvZ3qEuykLUO0owFbLlN7v55LdX8otXD33OO1Q2knKz8NF3H8/M8SO49sFfsWXHbtZ29yBTghGinlGCqZD2QQN47NnNLHlqba/LDwx0qSuYvhjQ2sJXLp7JW3v389l7V7G2+x4YtcEIUc8owVTIsEEDuOTU8Ty8ahOb3nzrkOXbdqmRvz9MHTOMT7/37fzg+S3c+uOXMYPxera8EHWNEkwV+OC7JuHu/NvT6w5Ztr1jLwNbW2hvgOe4ZM2HzpjMaZNH8cLmHeqiLEQDoARTBcaPamfB9KNZ+j+vsnvf/oOWvdGxlxHtbXpOej9oaTFuvmgm7QNbOX602l+EqHeUYKrE4jMm80bHPh74xYaDyjXQZWlMOKqdpR+ZyxfOOyFvFSFEhSjBVIm5x49i+tjh3PnUWopHpdker2BE/5k5fgRTxxxx+BWFEEmjBFMlzIzFZ0zihc07ePrlrd3luoIRQjQrSjBV5PyZx3LU0IEseWpNd9n2jr2M1MPGhBBNiBJMFRnc1sqlcybwg+e3sG7rLtyd7R379CwYIURTogRTZS6bO5EBLca//HQtO/Z00tnlGiZGCNGUKMFUmaOHD2bRSWP57vL1rN8WbrzUFYwQohlRgsmAxWdMZueeTm7/r1cAGKUEI4RoQpRgMmDm+BG8c8IIHlwZ7olRI78QohlRgsmID505ma54O4yqyIQQzYgSTEa8d8YxjD1yMKCBLoUQzYkSTEa0tbbwsflTGTdyCEcOURWZEKL5GJC3QCNz+dyJXDZngga6FEI0JbqCyRglFyFEs6IEI4QQIhMaOsGY2fvM7AUze8nM/jJvHyGEaCYaNsGYWSvwj8D7gROAPzIzPWRECCFqRMMmGOA04CV3f8Xd9wL3ABfk7CSEEE1DIyeY44D/LZpfH8u6MbM/NbPlZrb8tddeq6mcEEI0Oo2cYHrrvuUHzbjf5u6z3X326NGja6QlhBDNQSPfB7MeGF80Pw7Y2NfKK1aseN3M1lWwv98BXq9g+6xI1QvkVi5yK49U3VL1KnA4v4l9LbDi58c3EmY2AHgROAfYAPwMuNTdV2e0v+XuPjuL/10JqXqB3MpFbuWRqluqXgUq8WvYKxh37zSzjwOPAq3AkqySixBCiENp2AQD4O4PAw/n7SGEEM1IIzfy15rb8hbog1S9QG7lIrfySNUtVa8CZfs1bBuMEEKIfNEVjBBCiExQghFCCJEJSjBCCCEyQQmmn1jCD3Yxs0+Z2bnxdVKeqfkUSDlmkKYTpB231HyKada4KcEcBjO7wMzuAmbm7dITMzvXzB4FrgGuAPBEem2kGreUYwaKWzmkGjNQ3Br6PphyMTNzdzez+cANwD7gdDNb5+5v5O0GtAF/DcwDvgQMBE41szagM68TONW4pRyzgp/iVrpbijEruKG4hf0lkkyToXAA4utJwB5gOuHXx53u/kQibqe6+8/i63mEkQqmJOI2iUTilnLMevGbhOJWqtskEolZL25NHzdVkRURh5a5z8z+wsyOcfe17r7J3X8IbAbmmdlxh/k3tXAbW3TitsUT4xUze38CbsnELeWY9eKnuJXulkzMenFT3FCC6cbMLgT+GPg6cDLwV2b2jqJVvglMA+b02C7zBrte3D5vZoV6004zGwWsA/Zn7dIPtyTilnLM+vBT3Ep3SyJmfbgpbijBFDMHuNXdfwRcB6wBPlFY6O6/JIzIfKKZnW1m18TyWtQx9uZ2dWH/7r4NGALMBzCzWh7XVOOWcsz68lPcSndLIWZ9uTV93JouwfTMykXzrwCXArj7OuD7wFAzO79o9aXAnwDfJjwjoaq/jip0uxs4zcwGu3tXtZz64Zp73CrwqmnMyvBT3Ep3q1nMynBrurg1XYIh9O7opihL/zvQYWYXxPlNwI+BEywwDPgasAo42d0/3WP73Nxi2RDgHjK6BDezwknXWopb1nEr1yuWZRqz6DWpeD6huJXlFcuyPtdmm9mYUt1q8Rkt1y2WZR23BWY2q1S3LOPWNAkmnhjfBf7WzM4sfCEVXaq+AdwPXGlm5u5vAsOAwTHQu4Gr3X2Ru29KxG1Q0UnwoLvf7u77quhlZtZuZkuBBwDcfX9h2WHcMotbhV6ZxqzI8Z1m9jhwfeF49tMv0/OtAq/M42ZmM8zsp8AXgBEluNXiM1quWy3idoqZPRL3P7UEt8zj1vAJJn4Z3QT8E/AQocfEx4EJAEWXqkMIDyfbBNxmZscCpxD6iePune6+JTG3zsL/KnzBVpNYd9wRZ0eb2ZXRu7XoQ1PzuFXolWnM4jH9PKHK4R53v6Io+bXkFbcqeGUat8jVwP3ufp67v1iCW2bnWhXcMoubmbWa2W3A7YQh9b9F6HaMmQ1IIW4Nn2BikJ8AFrr7XcCdgAOvFdYxs+sJGf5o4FOEL/pvAduBm5rRLe7bzGxs3OeHCb+ARhR9MeXilqoXdB/TgcCT7n5H9DnFwiO8C/cg3FBrv1S94n5bLfSycuAfYtmFZjYOaI/zX5TbwcTzfRlwlrvfD9wHzLfQxtMZ3a7Lw61YsuEmwt2zc3opP4vQVfBp4O8JPTqGxYBP7bFuezO7AS1F5Q8A44BvEE7KicDQ6DYla7dUvfo6ptFhGfAVQu+chwhdQX+/lsc0Va8+3AYDzwGLCI3hywg/uG4ltE3KrRe3onIDFhCuZkbFsjG1/iwc4lWrHdXkzcARhCy+DVgCjIzlLfHvDGB+fL0Y+FdgctH2LXI74BaXTQO+Gl+fB/wGeKbH9pm4perVT78PAI8D747zH41fShNzjltuXv1w+wywFrg8zh8H/Ddwjtz6/P4wDozIMo7QY+zYXrbP9LPQ19RoVWR7gR8ClwEbgYvhQFuGu6/20BccQtXUEcR6yFifmmXXwbpzi2wEppnZ94Cbo9uawsKM3VL1Oqyfu38TuMTdfxKLHgdGUZtjmqrXb3UDbiG0F4yJrhsIx7VNbn1+f7i7e9z/ekLSu6h4wxp9Fnql7hOMmV1hZvNiHfwe4A7Ch+ZFYLaZTYvr9ezTfS7h/e+AgxrU5VbkRkh0Gwm/jGa5+3nAOIvdIavtlqpXqX6xt862ok0XEurxd2bhl6pXKW7uvhO4CrjCzN4RO28sIP5wkFufx7TF3btie9qvgV3F/yev5ALU52CX8Qv5GEL9YhfwMqF++Wp3fz2u8zbC8Ai73f2LsWwQoa3jy8AG4DPu/rzcenXb4+43xLIjPXRtpLf5RvUq06/4mLYAZxLuMXgVuKaaxzRVr0rcYvkfEoaQnwF8zt1Xy+3wxzQmmb8Ddrr7tdX0Kps86uUqmYDW+HcacHd8PYDQ0Htvj3UvJFzaTgUGES5nTwJ+T279dhtC6MsPGdTjpupVBb/BhPrxKcD5zeJVodtQoC2Wm9xKOqZDs3Qrd6qb58HEy7/rgVYzexgYTrwj1t07zewTwEYzm+dx2Gl3v9/MphN6fQwjNKKvItyxKrcS3IDnvIqX2ql6VdnvbHd/lvArtKG9quhWOKZVrVqRW07kneH6MxG65j1D6Bb4EeAnwPsIl/enFa13JfCjovmLCfWRtwNj5JaGW6peqful6iW3xnSryvvLW6CfB+EsYvfAOH9LDPgHgRWxrIVQd/kdYvfeuN1ZckvLLVWv1P1S9ZJbY7pV5f3lLdDPg9BOaKco1FF+APhSfL0SuCq+ng0slVvabql6pe6XqpfcGtOtGlNddFN29w533+MHxvJZyIHhVBYD083sIcI4Sz+XW9puqXql7peql9wa060a1E0jP3QPye6EcXW+F4t3AJ8DTgTWeLgBSm514JaqV4FU/VL1kltjulVCXVzBFNFF6M77OnByzOzXAl3u/mTOB0BujeNVIFW/VL3k1phu5ZN3HV2pEzCXcDCeBD6ct4/cGtMrdb9UveTWmG7lTnV3J7+FYbIvJwx0uCdvn2LkVjqpehVI1S9VL5BbuaTsVi51l2CEEELUB/XWBiOEEKJOUIIRQgiRCUowQgghMkEJRgghRCYowQghhMgEJRghcsDMjjKzlXH6PzPbEF/vNLNb8vYTohqom7IQOWNm1xGeQnhz3i5CVBNdwQiREGb2njhMCGZ2nZndZWb/aWZrzewPzOxvzGyVmS0zs7a43iwze8LMVpjZo2Y2Nt93IURACUaItJkCLAIuAO4mPHTqJOAtYFFMMt8ALnL3WcAS4Ma8ZIUopq5GUxaiCXnE3feZ2SqglfCIXAiP1p4EvJ0w2u5jZkZcZ1MOnkIcghKMEGmzB8Ddu8xsnx9oNO0ifH4NWO3up+clKERfqIpMiPrmBWC0mZ0OYGZtZjYjZychACUYIeoad98LXAR82cyeITxm9135WgkRUDdlIYQQmaArGCGEEJmgBCOEECITlGCEEEJkghKMEEKITFCCEUIIkQlKMEIIITJBCUYIIUQm/D9mCPN5LYdLBwAAAABJRU5ErkJggg==\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "ts = TimeSeries('dataset/monthly_sales.csv', train_size=0.8)\n",
    "\n",
    "print(\"Sales Data\")\n",
    "print(ts.data.describe())\n",
    "\n",
    "print(\"Head and Tail of the time series\")\n",
    "print(ts.data.head(5).iloc[:,1])\n",
    "print(ts.data.tail(5).iloc[:,1])\n",
    "\n",
    "# Plot of raw time series data\n",
    "plt.plot(ts.data.index,ts.data.sales)\n",
    "plt.gcf().autofmt_xdate()\n",
    "date_format = mpld.DateFormatter('%Y-%m')\n",
    "plt.gca().xaxis.set_major_formatter(date_format)\n",
    "plt.title(\"Sales Data Analysis (2013-2016)\")\n",
    "plt.xlabel(\"Time\")\n",
    "plt.ylabel(\"Sales\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Seasonal Decompose of the time series\n",
    "\n",
    "Seasonal decompose is a method used to decompose the components of a time series into the following:\n",
    "- Level - average value in the series.\n",
    "- Trend - increasing or decreasing value in the series.\n",
    "- Seasonality - repeating short-term cycle in the series.\n",
    "- Noise - random variation in the series.\n",
    "\n",
    "The analysis of the components individually provide better insights for model selection."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "from statsmodels.tsa.seasonal import seasonal_decompose\n",
    "\n",
    "result_add = seasonal_decompose(ts.data.iloc[:,1],period=12,model='additive')\n",
    "result_add.plot()\n",
    "plt.gcf().autofmt_xdate()\n",
    "date_format = mpld.DateFormatter('%y-%m')\n",
    "plt.gca().xaxis.set_major_formatter(date_format)\n",
    "\n",
    "result_mul = seasonal_decompose(ts.data.iloc[:,1],period=12,model='multiplicative')\n",
    "result_mul.plot()\n",
    "plt.gcf().autofmt_xdate()\n",
    "date_format = mpld.DateFormatter('%y-%m')\n",
    "plt.gca().xaxis.set_major_formatter(date_format)\n",
    "plt.show()\n",
    ""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Observations from Seasonal Decompose\n",
    "\n",
    "1. The time series seems to roughly have a constant seasonality but has an overall **increasing trend**.\n",
    "2. A slightly decreasing trend is observed till 2014-07 after that an increasing trend is observed.\n",
    "\n",
    "### Model Selection\n",
    "\n",
    "From the above observations we can evidently conclude that **Holt-Winter additive model** would be an appropriate choice as there is a constant seasonality component along with an increasing trend.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "from statsmodels.tsa.holtwinters import ExponentialSmoothing\n",
    "# Scaling down the data by a factor of 1000\n",
    "ts.set_scale(1000)\n",
    "\n",
    "# Training the model\n",
    "model = ExponentialSmoothing(ts.train,trend='additive',seasonal='additive',seasonal_periods=12).fit(damping_slope=1)\n",
    "plt.plot(ts.train.index,ts.train,label=\"Train\")\n",
    "plt.plot(ts.test.index,ts.test,label=\"Actual\")\n",
    "\n",
    "# Create a 5 year forecast\n",
    "plt.plot(model.forecast(60),label=\"Forecast\")\n",
    "\n",
    "plt.legend(['Train','Actual','Forecast'])\n",
    "plt.gcf().autofmt_xdate()\n",
    "date_format = mpld.DateFormatter('%Y-%m')\n",
    "plt.gca().xaxis.set_major_formatter(date_format)\n",
    "plt.title(\"Sales Data Analysis (2013-2016)\")\n",
    "plt.xlabel(\"Time\")\n",
    "plt.ylabel(\"Sales (x1000)\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Validation of the model\n",
    "Let's do a brief comparison between the additive and the multiplicative models."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "from statsmodels.tsa.holtwinters import ExponentialSmoothing\n",
    "\n",
    "ts = TimeSeries('dataset/monthly_sales.csv', train_size=0.8)\n",
    "# Additive model\n",
    "model_add = ExponentialSmoothing(ts.data.iloc[:,1],trend='additive',seasonal='additive',seasonal_periods=12,damped=True).fit(damping_slope=0.98)\n",
    "prediction = model_add.predict(start=ts.data.iloc[:,1].index[0],end=ts.data.iloc[:,1].index[-1])\n",
    "\n",
    "plt.plot(ts.data.iloc[:,1].index,ts.data.iloc[:,1],label=\"Train\")\n",
    "plt.plot(ts.data.iloc[:,1].index,prediction,label=\"Model\")\n",
    "plt.plot(model_add.forecast(60))\n",
    "\n",
    "plt.legend(['Actual','Model','Forecast'])\n",
    "plt.gcf().autofmt_xdate()\n",
    "date_format = mpld.DateFormatter('%Y-%m')\n",
    "plt.gca().xaxis.set_major_formatter(date_format)\n",
    "plt.title(\"Sales Data Analysis (2013-2016)\")\n",
    "plt.xlabel(\"Time\")\n",
    "plt.ylabel(\"Sales\")\n",
    "plt.show()\n",
    "\n",
    "\n",
    "# Multiplicative model\n",
    "model_mul = ExponentialSmoothing(ts.data.iloc[:,1],trend='additive',seasonal='multiplicative',seasonal_periods=12,damped=True).fit()\n",
    "prediction = model_mul.predict(start=ts.data.iloc[:,1].index[0],end=ts.data.iloc[:,1].index[-1])\n",
    "\n",
    "plt.plot(ts.data.iloc[:,1].index,ts.data.iloc[:,1],label=\"Train\")\n",
    "plt.plot(ts.data.iloc[:,1].index,prediction,label=\"Model\")\n",
    "plt.plot(model_mul.forecast(60))\n",
    "plt.legend(['Actual','Model','Forecast'])\n",
    "plt.gcf().autofmt_xdate()\n",
    "date_format = mpld.DateFormatter('%Y-%m')\n",
    "plt.gca().xaxis.set_major_formatter(date_format)\n",
    "plt.title(\"Sales Data Analysis (2013-2016)\")\n",
    "plt.xlabel(\"Time\")\n",
    "plt.ylabel(\"Sales\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": "ExponentialSmoothing Model Results                       \n================================================================================\nDep. Variable:                    endog   No. Observations:                   48\nModel:             ExponentialSmoothing   SSE                     5088109579.122\nOptimized:                         True   AIC                            920.991\nTrend:                         Additive   BIC                            952.801\nSeasonal:                      Additive   AICC                           948.133\nSeasonal Periods:                    12   Date:                 Fri, 27 Mar 2020\nBox-Cox:                          False   Time:                         16:57:56\nBox-Cox Coeff.:                    None                                         \n=================================================================================\n                          coeff                 code              optimized      \n---------------------------------------------------------------------------------\nsmoothing_level               0.1052632                alpha                 True\nsmoothing_slope               0.1052632                 beta                 True\nsmoothing_seasonal            0.3684211                gamma                 True\ninitial_level                 23914.153                  l.0                 True\ninitial_slope                 0.0098000                  b.0                 True\ndamping_slope                 0.9800000                  phi                False\ninitial_seasons.0            -9677.2525                  s.0                 True\ninitial_seasons.1            -19394.263                  s.1                 True\ninitial_seasons.2             31776.858                  s.2                 True\ninitial_seasons.3             4381.1975                  s.3                 True\ninitial_seasons.4            -265.86250                  s.4                 True\ninitial_seasons.5             10680.977                  s.5                 True\ninitial_seasons.6             10032.237                  s.6                 True\ninitial_seasons.7             3995.3175                  s.7                 True\ninitial_seasons.8             57863.198                  s.8                 True\ninitial_seasons.9             7539.2375                  s.9                 True\ninitial_seasons.10            54714.568                 s.10                 True\ninitial_seasons.11            45631.467                 s.11                 True\n---------------------------------------------------------------------------------\n                       ExponentialSmoothing Model Results                       \n================================================================================\nDep. Variable:                    endog   No. Observations:                   48\nModel:             ExponentialSmoothing   SSE                     5235252441.242\nOptimized:                         True   AIC                            922.359\nTrend:                         Additive   BIC                            954.169\nSeasonal:                Multiplicative   AICC                           949.502\nSeasonal Periods:                    12   Date:                 Fri, 27 Mar 2020\nBox-Cox:                          False   Time:                         16:57:56\nBox-Cox Coeff.:                    None                                         \n=================================================================================\n                          coeff                 code              optimized      \n---------------------------------------------------------------------------------\nsmoothing_level               0.0526304                alpha                 True\nsmoothing_slope               0.0526304                 beta                 True\nsmoothing_seasonal            0.4739722                gamma                 True\ninitial_level                 23914.153                  l.0                 True\ninitial_slope                 0.0103101                  b.0                 True\ndamping_slope                 0.9781040                  phi                 True\ninitial_seasons.0             0.8216244                  s.0                 True\ninitial_seasons.1             0.4627010                  s.1                 True\ninitial_seasons.2             2.1666146                  s.2                 True\ninitial_seasons.3             1.3637967                  s.3                 True\ninitial_seasons.4             1.3727428                  s.4                 True\ninitial_seasons.5             1.4773012                  s.5                 True\ninitial_seasons.6             1.4485307                  s.6                 True\ninitial_seasons.7             1.4558825                  s.7                 True\ninitial_seasons.8             3.2280199                  s.8                 True\ninitial_seasons.9             1.7354292                  s.9                 True\ninitial_seasons.10            3.4934260                 s.10                 True\ninitial_seasons.11            3.1794103                 s.11                 True\n---------------------------------------------------------------------------------\n"
    }
   ],
   "source": [
    "print(model_add.summary())\n",
    "print(model_mul.summary())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Conclusion of the analysis\n",
    "\n",
    "From the model summary obtained it is clear that the sum of squared errors (SSE) for the additive model (5088109579.122) < the SSE for the multiplicative(5235252441.242) model.\n",
    "\n",
    "Hence the initial assumption that seasonality is roughly constant and therefore choosing additive model was appropriate. \n",
    "\n",
    "Note:\n",
    "The forecast made using multiplicative model seems to be unrealistic since the variance between the high and low on an average is **100000** which is somewhat unexpected in real world sales compared to **63000** incase of additive model.\n",
    "\n"
   ]
  }
 ]
}